Susan needs to sell 24 purses.
The formula to calculate profit will be:
= Selling price - Cost price
Let the number of purses that she need to make to make a profit of $250 be represented by x.
Based on the information given, the cost price will be the cost of the booth and the cost incurred in making the purse. This will be:
= $60 + ($12 × x)
= $60 + 12x
Since she sells the purse for $25, the revenue that will be generated will be:
= ($25 × x)
= 25x
Then, we will put the values gotten into the profit formula and this will be:
Profit = Selling price - Cost price
$250 = 25x - ($60 + 12x)
$250 = 25x - $60 - 12x
Collect like terms
$250 + $60 = 25x - 12x
$310 = 13x
x = $310/13
x = 23.8
x = 24 approximately
Therefore, Susan needs to sell 24 purses.
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